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Finding the Third Proportional to 258,922.50 and 397,407

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Solution

The third proportional to 258,922.50 and 397,407 is: 609,959.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    258,922.50 : 397,407 = 397,407 : x
  2. Step 2: Convert to fraction form
    258,922.50/397,407 = 397,407/x
  3. Step 3: Cross multiply
    258,922.50x = 397,407 × 397,407
  4. Step 4: Simplify right side
    258,922.50x = 157,932,323,649
  5. Step 5: Solve for x
    x = 157,932,323,649/258,922.50
  6. Step 6: Final answer
    x = 609,959.83

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.